%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "3.11",
%%% date = "27 March 2008",
%%% time = "14:37:07 MDT",
%%% filename = "elefunt.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "49296 18007 79189 753817",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX, bibliography, elementary functions",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a bibliography of publications about
%%% the computation of the elementary functions
%%% (square root, exponential, logarithm,
%%% trigonometric, inverse trigonometric,
%%% hyperbolic, inverse hyperbolic, ...) in
%%% computer programming languages.
%%%
%%% At version 3.11, the year coverage looked
%%% like this:
%%%
%%% 1925 ( 1) 1953 ( 1) 1981 ( 15)
%%% 1926 ( 0) 1954 ( 2) 1982 ( 27)
%%% 1927 ( 0) 1955 ( 0) 1983 ( 19)
%%% 1928 ( 0) 1956 ( 0) 1984 ( 13)
%%% 1929 ( 0) 1957 ( 4) 1985 ( 15)
%%% 1930 ( 0) 1958 ( 4) 1986 ( 17)
%%% 1931 ( 0) 1959 ( 5) 1987 ( 24)
%%% 1932 ( 0) 1960 ( 9) 1988 ( 35)
%%% 1933 ( 0) 1961 ( 5) 1989 ( 62)
%%% 1934 ( 0) 1962 ( 0) 1990 ( 16)
%%% 1935 ( 0) 1963 ( 5) 1991 ( 27)
%%% 1936 ( 0) 1964 ( 4) 1992 ( 17)
%%% 1937 ( 0) 1965 ( 4) 1993 ( 21)
%%% 1938 ( 0) 1966 ( 7) 1994 ( 24)
%%% 1939 ( 0) 1967 ( 3) 1995 ( 21)
%%% 1940 ( 0) 1968 ( 7) 1996 ( 10)
%%% 1941 ( 0) 1969 ( 7) 1997 ( 16)
%%% 1942 ( 0) 1970 ( 5) 1998 ( 7)
%%% 1943 ( 1) 1971 ( 15) 1999 ( 30)
%%% 1944 ( 2) 1972 ( 15) 2000 ( 22)
%%% 1945 ( 2) 1973 ( 9) 2001 ( 16)
%%% 1946 ( 1) 1974 ( 8) 2002 ( 8)
%%% 1947 ( 0) 1975 ( 10) 2003 ( 11)
%%% 1948 ( 1) 1976 ( 10) 2004 ( 16)
%%% 1949 ( 0) 1977 ( 6) 2005 ( 13)
%%% 1950 ( 0) 1978 ( 13) 2006 ( 7)
%%% 1951 ( 3) 1979 ( 12) 2007 ( 3)
%%% 1952 ( 3) 1980 ( 10)
%%%
%%% Article: 439
%%% Book: 32
%%% InBook: 1
%%% InCollection: 19
%%% InProceedings: 116
%%% Manual: 1
%%% MastersThesis: 3
%%% Misc: 3
%%% PhdThesis: 12
%%% Proceedings: 42
%%% TechReport: 38
%%%
%%% Total entries: 706
%%%
%%% This bibliography has been collected from
%%% bibliographies in the author's personal
%%% files, from the OCLC WorldCat and
%%% Contents1st databases, from the American
%%% Mathematical Society MathSciNet database,
%%% from the ACM Computing Archive CD-ROM,
%%% and from the computer science bibliography
%%% collection on ftp.ira.uka.de in
%%% /pub/bibliography to which many people of
%%% have contributed.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen as
%%% name:year:abbrev, where name is the family
%%% name of the first author or editor, year is a
%%% 4-digit number, and abbrev is a 3-letter
%%% condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% This bibliography is sorted by year, and
%%% within each year, by author and title key,
%%% using ``bibsort -byyear''. Cross-referenced
%%% proceedings entries appear at the end,
%%% because of a restriction in the current
%%% BibTeX.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
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%%% and all of {...} gets downcased. We avoid the name \english to
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%%%
%%% To suppress output of English translations of non-English titles,
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%%% instead.
%%%
%%% Alternative Cyrillic definitions are supplied in the event that
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"\ifx \undefined \cdprime \def \cdprime{''} \fi " #
"\ifx \undefined \TM \def \TM {${}^{\sc TM}$} \fi" #
"\hyphenation{
Rich-ard
}"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{ack-nj = "Norbert Juffa,
2445 Mission College Blvd.,
Santa Clara, CA 95054,
USA,
e-mail: \path|norbert@@iit.com|"}
@String{ack-rfb = "Ronald F. Boisvert,
Applied and Computational Mathematics Division,
National Institute of Standards and Technology,
Gaithersburg, MD 20899, USA,
Tel: +1 301 975 3812,
e-mail: \path=boisvert@cam.nist.gov="}
%%% ====================================================================
%%% Institution abbreviations:
@String{inst-ANL = "Argonne National Laboratory"}
@String{inst-ANL:adr = "9700 South Cass Avenue, Argonne, IL
60439-4801, USA"}
@String{inst-CPAM-UCB = "Center for Pure and Applied Mathematics,
University of California, Berkeley"}
@String{inst-CPAM-UCB:adr = "Berkeley, CA, USA"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-INFO = "Acta Informatica"}
@String{j-ADV-APPL-MATH = "Advances in Applied Mathematics"}
@String{j-AM-J-MATH = "American Journal of Mathematics"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-MATH-ARTIF-INTELL = "Annals of Mathematics and Artificial
Intelligence"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-AUSTRALIAN-J-PHYS = "Australian Journal of Physics"}
@String{j-AUTOMATICA = "Automatica: the journal of IFAC, the
International Federation of Automatic
Control"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-C-R-ACAD-BULGARE-SCI = "Comptes rendus de l'Acad{\'e}mie bulgare
des sciences"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CCCUJ = "C/C++ Users Journal"}
@String{j-COMP-MATH-APPL-B = "Computers and Mathematics with Applications.
Part B"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-COMPUTER = "Computer"}
@String{j-COMPUTING = "Computing: Archiv fur informatik und
numerik"}
@String{j-COMPUTING-SUPPLEMENTUM = "Computing. Supplementum"}
@String{j-CONST-APPROX = "Constructive Approximation"}
@String{j-DDJ = "Dr. Dobb's Journal of Software Tools"}
@String{j-ELECT-LETTERS = "Electronics Letters"}
@String{j-ELEK-RECHENANLAGEN = "Elektronische Rechenanlagen"}
@String{j-IBM-JRD = "IBM Journal of Research and Development"}
@String{j-IBM-SYS-J = "IBM Systems Journal"}
@String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital Techniques"}
@String{j-IEEE-J-SOLID-STATE-CIRCUITS = "IEEE Journal of Solid-State Circuits"}
@String{j-IEEE-SIGNAL-PROCESS-LETT = "IEEE signal processing letters"}
@String{j-IEEE-TRANS-CIRCUITS-SYST-2 = "IEEE transactions on circuits and
systems. 2, Analog and digital signal
processing"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}
@String{j-IEEE-TRANS-SIG-PROC = "IEEE Transactions on Signal Processing"}
@String{j-IEEE-TRANS-VLSI-SYST = "IEEE Transactions on Very Large Scale
Integration (VLSI) Systems"}
@String{j-IJSAHPC = "The International Journal of Supercomputer
Applications and High Performance Computing"}
@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INT-J-COMPUT-INF-SCI = "International Journal of Computer and
Information Sciences"}
@String{j-INT-J-MATH-EDU-SCI-TECH = "International journal of mathematical
education in science and technology"}
@String{j-INT-J-MATH-MATH-SCI = "International Journal of Mathematics and
Mathematical Sciences"}
@String{j-INTEGRATION-VLSI-J = "Integration, the VLSI journal"}
@String{j-INTEL-TECH-J = "Intel Technology Journal"}
@String{j-INTERVAL-COMP = "Interval Computations = Interval'nye
vychisleniia"}
@String{j-J-ACM = "Journal of the Association for Computing
Machinery"}
@String{j-J-ALG = "Journal of Algorithms"}
@String{j-J-APPROX-THEORY = "Journal of Approximation Theory"}
@String{j-J-COMP-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPLEXITY = "Journal of complexity"}
@String{j-J-MULTIVAR-ANAL = "Journal of multivariate analysis"}
@String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed
Computing"}
@String{j-J-PHYS-A = "Journal of Physics A (Mathematical and General)"}
@String{j-J-STAT-COMPUT-SIMUL = "Journal of Statistical Computation and
Simulation"}
@String{j-J-STAT-SOFT = "Journal of Statistical Software"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-J-SYMBOLIC-LOGIC = "Journal of Symbolic Logic"}
@String{j-J-UCS = "J.UCS: The Journal of Universal Computer Science"}
@String{j-J-VLSI-SIGNAL-PROC = "Journal of VLSI Signal Processing"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LIN-MULT-ALGEBRA = "Linear and Multilinear Algebra"}
@String{j-LOGIN = ";login: the USENIX Association newsletter"}
@String{j-MATH-COMP = "Mathematics of Computation"}
@String{j-MATH-COMP-SIM = "Mathematics and Computers in Simulation"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-MODEL-NUM-ANA = "Mathematical modelling and numerical
analysis = Modelisation math{\'e}matique et
analyse num{\'e}rique: $M^2AN$"}
@String{j-MATH-OP-RES = "Mathematics of Operations Research"}
@String{j-MATH-PROG = "Mathematical Programming"}
@String{j-MATH-TABLES-AIDS-COMPUT = "Mathematical Tables and Aids to
Computation"}
@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
to Computation"}
@String{j-MICROPROC-MICROPROG = "Microprocessing and Microprogramming"}
@String{j-MICROPROC-MICROSYS = "Microprocessors and Microsystems"}
@String{j-NACH-ELEK = "Nachrichtentechnik Elektronik"}
@String{j-NEURAL-COMP = "Neural Computation"}
@String{j-NEURAL-NETWORKS = "Neural Networks"}
@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk tidskrift for
informationsbehandling"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-OPER-RES = "Operations Research"}
@String{j-PAC-J-MATH = "Pacific Journal of Mathematics"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-PHYS-TODAY = "Physics Today"}
@String{j-PHYSICA-D = "Physica D"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROGRAMMIROVANIE = "Programmirovanie"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@String{j-SIAM-J-MATH-ANA = "SIAM journal on mathematical analysis"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGADA-LETTERS = "ACM SIGADA Ada Letters"}
@String{j-SIGNUM = "ACM SIGNUM Newsletter"}
@String{j-SIGPLAN = "ACM SIGPLAN Notices"}
@String{j-TECHNIQUE-SCI-INFORMATIQUES = "Technique et Science Informatiques"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-TOKYO-J-MATH = "Tokyo journal of mathematics"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical
Society"}
@String{j-TRANS-SOC-COMP-SIM = "Transactions of the Society for Computer
Simulation"}
@String{j-Z-ANAL-ANWEND = "Zeitschrift f{\"u}r Analysis und ihre
Anwendungen"}
@String{j-Z-MATH-LOGIK-GRUNDL-MATH = "Zeitschrift f{\\\"u}r mathematische
Logik und Grundlagen der Mathematik"}
%%% ====================================================================
%%% Publishers and their addresses:
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AFIPS = "AFIPS Press"}
@String{pub-AFIPS:adr = "Montvale, NJ, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-AP = "Academic Press"}
@String{pub-AP:adr = "New York, NY, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-CHAPMAN-HALL = "Chapman and Hall, Ltd."}
@String{pub-CHAPMAN-HALL:adr = "London, UK"}
@String{pub-CLARENDON-PRESS = "Clarendon Press"}
@String{pub-CLARENDON-PRESS:adr = "Oxford, UK"}
@String{pub-CRC = "CRC Press"}
@String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton,
FL 33431-9868, USA"}
@String{pub-ELLIS-HORWOOD = "Ellis Horwood"}
@String{pub-ELLIS-HORWOOD:adr = "New York, NY, USA"}
@String{pub-ENH = "Elsevier North-Holland, Inc."}
@String{pub-ENH:adr = "New York, NY, USA"}
@String{pub-IBM = "IBM Corporation"}
@String{pub-IBM:adr = "San Jose, CA, USA"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
Spring, MD 20910, USA"}
@String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr = "New York, NY, USA"}
@String{pub-NIST = "National Institute for Standards and Technology"}
@String{pub-NIST:adr = "Gaithersburg, MD, USA"}
@String{pub-NORTH-HOLLAND = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PERGAMON = "Pergamon Press"}
@String{pub-PERGAMON:adr = "New York, NY, USA"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Englewood Cliffs, NJ 07632, USA"}
@String{pub-REK = "Robert E. Krieger Publishing Company"}
@String{pub-REK:adr = "Huntington, NY, USA"}
@String{pub-SIAM = "Society for Industrial and Applied
Mathematics"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SPIE = "Society of Photo-optical
Instrumentation Engineers (SPIE)"}
@String{pub-SPIE:adr = "Bellingham, WA, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@String{pub-TEUBNER = "Teubner"}
@String{pub-TEUBNER:adr = "Stuttgart, Leipzig"}
@String{pub-USENIX = "USENIX"}
@String{pub-USENIX:adr = "San Francisco, CA, USA"}
@String{pub-WCB = "William C. Brown Company Publishers"}
@String{pub-WCB:adr = "Dubuque, IA, USA"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@String{pub-WORLD-SCI = "World Scientific Publishing
Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr = "P. O. Box 128, Farrer Road,
Singapore 9128"}
%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS = "Lecture Notes in Computer Science"}
%%% ====================================================================
%%% Bibliography entries, sorted by year and citation label:
@Article{Ritt:1925:EFT,
author = "J. F. Ritt",
title = "Elementary functions and their inverses",
journal = j-TRANS-AM-MATH-SOC,
volume = "27",
number = "1",
pages = "68--90",
year = "1925",
CODEN = "TAMTAM",
ISSN = "0002-9947",
MRclass = "30A05 (33B10)",
MRnumber = "MR1501299",
bibdate = "Wed Apr 13 06:46:35 2005",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
}
@Article{RCA:1943:TTF,
author = "{R. C. A.}",
title = "Tables of Trigonometric Functions in Non-Sexagesimal
Arguments",
journal = j-MATH-TABLES-AIDS-COMPUT,
volume = "1",
number = "2",
pages = "33--44",
month = apr,
year = "1943",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
note = "Original journal has only `R. C. A.' as author:
possibly R. C. Archibald.",
acknowledgement = ack-nhfb,
}
@Article{Bateman:1944:GTB,
author = "Harry Bateman and Raymond Clare Archibald",
title = "A Guide to Tables of {Bessel} Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "7",
pages = "205--308",
month = jul,
year = "1944",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "",
MRnumber = "6,132b",
MRreviewer = "G. Szeg{\"o}",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{DHL:1944:NCB,
author = "{D. H. L.}",
title = "Note on the Computation of the {Bessel} Function
${I}_n({X})$",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "5",
pages = "133--135",
month = apr,
year = "1944",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
note = "Original journal has only `D. H. L.' as author:
probably D. H. Lehmer.",
acknowledgement = ack-nhfb,
}
@Article{Abramowitz:1945:ZCB,
author = "Milton Abramowitz",
title = "Zeros of certain {Bessel} functions of fractional
order",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "9",
pages = "353--354",
month = jan,
year = "1945",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "65.0X",
MRnumber = "6,132c",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Emde:1945:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = "Edwards Bros.",
address = "Ann Arbor, MI, USA",
pages = "xii + 181",
year = "1945",
LCCN = "????",
bibdate = "Fri Jun 11 12:34:09 1999",
note = "Original edition published in 1940.",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1946:MZC,
author = "Anonymous",
title = "More Zeros of Certain {Bessel} Functions of Fractional
Order",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "2",
number = "15",
pages = "118--119",
month = jul,
year = "1946",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Emde:1948:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
edition = "Second",
pages = "xii + 181",
year = "1948",
LCCN = "QA55 .E5 1948",
MRclass = "65.0X",
MRnumber = "11,263k",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Fogel:1951:FTE,
author = "{\`E}. K. Fogel'",
title = "A finite theory of elementary functions. {I}.
Logarithmic and exponential functions. ({Russian})",
journal = "Latvijas PSR Zin\=at{\c{n}}u Akad. V\=estis",
volume = "5",
number = "46",
pages = "801--813",
year = "1951",
MRclass = "33.0X",
MRnumber = "15,218b",
MRreviewer = "H. N. Shapiro",
bibdate = "Sat Apr 25 13:05:19 1998",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1951:FCE,
author = "H. E. Salzer",
title = "Formulas for Calculating the Error Function of a
Complex Variable",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "34",
pages = "67--70",
month = apr,
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1951:RTT,
author = "H. E. Salzer",
title = "Radix Table for Trigonometric Functions and their
Inverses to High Accuracy",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "33",
pages = "9--11",
month = jan,
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@InBook{Goncarov:1952:EFC,
author = "V. L. Gon{\v{c}}arov",
booktitle = "Encyclopaedia of elementary mathematics. Book III.
Functions and limits (the foundations of analysis)",
title = "Elementary functions of a complex variable",
publisher = "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
address = "Moscow-Leningrad, USSR",
pages = "491--552",
year = "1952",
MRclass = "30.0X",
MRnumber = "14,1073c",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Goncarov:1952:EFR,
author = "V. L. Gon{\v{c}}arov",
booktitle = "Encyclopaedia of elementary mathematics. Book III.
Functions and limits (the foundations of analysis)",
title = "Elementary functions of a real variable. Limits of
sequences and functions. The general concept of a
function",
publisher = "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
address = "Moscow-Leningrad, USSR",
pages = "9--296",
year = "1952",
MRclass = "27.2X",
MRnumber = "14,1070d",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kuipers:1952:PSE,
author = "L. Kuipers",
title = "Properties of some elementary functions",
journal = "Nederl. Akad. Wetensch. Proc. Ser. A. = Indagationes
Math.",
volume = "55",
number = "14",
pages = "388--393",
year = "1952",
MRclass = "27.0X",
MRnumber = "14,360e",
MRreviewer = "E. Frank",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Scherberg:1953:ACP,
author = "Max G. Scherberg and John F. Riordan",
title = "Analogue Calculation of Polynomial and Trigonometric
Expansions (in {Other Aids to Computation})",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
number = "41",
pages = "61--65",
month = jan,
year = "1953",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Clenshaw:1954:PAE,
author = "C. W. Clenshaw",
title = "Polynomial approximations to elementary functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
pages = "143--147",
year = "1954",
ISSN = "0891-6837",
MRclass = "41.1X",
MRnumber = "16,128f",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{LaFara:1954:MCI,
author = "Robert L. LaFara",
title = "A Method for Calculating Inverse Trigonometric
Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
number = "47",
pages = "132--139",
month = jul,
year = "1954",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1957:CEN,
author = "E. G. Kogbetliantz",
title = "Computation of $e^N$ for $-\infty < N < +\infty$ Using
an Electronic Computer",
journal = j-IBM-JRD,
volume = "1",
number = "2",
pages = "110--115",
month = apr,
year = "1957",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "68.0X",
MRnumber = "19,775d",
bibdate = "Tue Sep 06 20:55:54 1994",
acknowledgement = ack-nhfb,
reviewer = "W. F. Freiberger",
}
@Article{Linskii:1957:CEF,
author = "V. S. Linski{\u{\i}}",
title = "Calculation of elementary functions on automatic
digital machines. ({Russian})",
journal = "Vy{\v{c}}isl. Mat.",
volume = "2",
pages = "90--119",
year = "1957",
MRclass = "68.00",
MRnumber = "21 \#982",
MRreviewer = "J. W. Carr, III",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Luke:1957:C,
author = "Yudell L. Luke",
title = "On the Computation of $\log {Z}$ and
${\rm arc} \tan {Z}$",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "57",
pages = "16--18",
month = jan,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Stegun:1957:GBF,
author = "Irene A. Stegun and Milton Abramowitz",
title = "Generation of {Bessel} Functions on High Speed
Computers",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "60",
pages = "255--257",
month = oct,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Goldstein:1958:BFL,
author = "M. Goldstein and R. M. Thaler",
title = "{Bessel} Functions for Large Arguments",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "12",
number = "61",
pages = "18--26",
month = jan,
year = "1958",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1958:CANa,
author = "E. G. Kogbetliantz",
title = "Computation of Arctan {N} for $-\infty < {N} <
+\infty$ Using an Electronic Computer",
journal = j-IBM-JRD,
volume = "2",
number = "1",
pages = "43--53",
month = jan,
year = "1958",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65.3X",
MRnumber = "19,982e",
bibdate = "Wed Aug 31 13:40:00 1994",
acknowledgement = ack-nhfb,
reviewer = "C. B. Haselgrove",
}
@Article{Kogbetliantz:1958:CANb,
author = "E. G. Kogbetliantz",
title = "Computation of Arcsin {N} for $0<{N}<1$ Using an
Electronic Computer",
journal = j-IBM-JRD,
volume = "2",
number = "3",
pages = "218--222",
month = jul,
year = "1958",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65.3X",
MRnumber = "19,1197c",
bibdate = "Wed Aug 31 13:41:37 1994",
acknowledgement = ack-nhfb,
reviewer = "C. B. Haselgrove",
}
@Article{Wadey:1958:TSR,
author = "W. G. Wadey",
title = "Two Square-Root Approximations",
journal = j-CACM,
volume = "1",
number = "11",
pages = "13--14",
month = nov,
year = "1958",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Wed Jul 14 15:48:22 MDT 2004",
bibsource = "http://portal.acm.org/;
http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Wadey58",
acknowledgement = ack-nhfb,
oldlabel = "Wadey58",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Wadey58",
}
@Article{Goldstein:1959:RTC,
author = "M. Goldstein and R. M. Thaler",
title = "Recurrence Techniques for the Calculation of {Bessel}
Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "66",
pages = "102--108",
month = apr,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1959:CSC,
author = "E. G. Kogbetliantz",
title = "Computation of $\sin{N}$, $\cos{N}$, and ${M}$th Root
of ${N}$ Using an Electronic Computer",
journal = j-IBM-JRD,
volume = "3",
number = "2",
pages = "147--152",
month = apr,
year = "1959",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65.00",
MRnumber = "21 \#964",
bibdate = "Thu Sep 1 10:15:56 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nhfb,
reviewer = "B. A. Chartres",
}
@Article{Sarafyan:1959:NMC,
author = "Diran Sarafyan",
title = "A New Method of Computation of Square Roots Without
Using Division",
journal = j-CACM,
volume = "2",
number = "11",
pages = "23--24",
month = nov,
year = "1959",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Wed Jul 14 15:48:24 MDT 2004",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sarafyan59;
http://portal.acm.org/",
note = "See comments \cite{Traub:1960:CNM}.",
acknowledgement = ack-nhfb,
oldlabel = "Sarafyan59",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sarafyan59",
}
@Article{Sherry:1959:CGF,
author = "M. E. Sherry and S. Fulda",
title = "Calculation of Gamma Functions to High Accuracy (in
{Technical Notes and Short Papers})",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "68",
pages = "314--315",
month = oct,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Volder:1959:CCT,
author = "Jack Volder",
title = "The {CORDIC} Computing Technique",
journal = "Proceedings of the Western Joint Computer Conference",
pages = "257--261",
year = "1959",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/Pre.1975.bib.gz",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Article{Haimovici:1960:MRE,
author = "Corina Haimovici",
title = "A method of representing elementary functions in
algebras of finite order. ({Romanian})",
journal = "An. {\c{S}}ti. Univ. ``Al. I. Cuza'' Ia{\c{s}}i
Sec{\c{t}} I. (N.S.)",
volume = "6",
pages = "507--515",
year = "1960",
MRclass = "26.00",
MRnumber = "24 \#A1342",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Kogbetliantz:1960:GEF,
author = "E. G. Kogbetliantz",
title = "Generation of elementary functions",
crossref = "Ralston:1960:MMD",
pages = "7--35",
year = "1960",
MRclass = "68.00 (65.00)",
MRnumber = "22 \#8681",
MRreviewer = "J. C. P. Miller",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Manual{Maehly:1960:ACD,
author = "Hans J. Maehly",
title = "Approximations for the {Control Data 1604}",
organization = "Institute for Advanced Study",
address = "Princeton, NJ",
pages = "ii + 44",
day = "15",
month = jan,
year = "1960",
bibdate = "Tue Nov 06 00:39:07 2007",
URL = "http://www.bitsavers.org/pdf/cdc/1604/Approximations_For_The_Control_Data_1604_Mar60.pdf",
acknowledgement = ack-nhfb,
keywords = "$\arctan(x)$; $\cos(x)$; $\exp(x)$; $\log(x)$;
$\sin(x)$; $\sqrt(x)$; $\tan(x)$; CDC 1604",
}
@Article{Philip:1960:FI,
author = "J. R. Philip",
title = "The function inverfc $\theta$",
journal = j-AUSTRALIAN-J-PHYS,
volume = "13",
number = "1",
pages = "13--20",
month = mar,
year = "1960",
CODEN = "AUJPAS",
ISSN = "0004-9506",
MRnumber = "22 \9626",
bibdate = "Tue Sep 11 20:53:59 2007",
abstract = "The function inverfc $\theta$ arises in certain
differential equations when concentration is taken as
an independent variable. It enters into a general
method of exact solution of the concentration-dependent
diffusion equation. An account is given of the
properties of this function, and of its derivatives and
integrals. The function\par
$$B(\theta) = (2/\pi^{1/2}) \exp[-({\rm inverfc} \theta)^2]$$
\noindent is intimately connected with the first
integral of inverfc $\theta$ and with its
derivatives. Tables of inverfc $\theta$ and $B(\theta)$
are given.",
acknowledgement = ack-nhfb,
ZMnumber = "135.28302",
}
@Article{Sarafyan:1960:DCS,
author = "Diran Sarafyan",
title = "Divisionless computation of square roots through
continued squaring",
journal = j-CACM,
volume = "3",
number = "5",
pages = "319--321",
month = may,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782",
MRclass = "65.00",
MRnumber = "22\#8639",
bibdate = "Fri Nov 25 18:19:26 MST 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.acm.org/pubs/contents/journals/cacm/",
acknowledgement = ack-nhfb,
keywords = "$\sqrt(x)$; elementary functions",
ZMreviewer = "M. Lotkin",
}
@Article{Sholander:1960:AEE,
author = "Marlow Sholander",
title = "Analytical expressions and elementary functions",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
pages = "213--214",
year = "1960",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "26.00",
MRnumber = "22 \#9553",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Traub:1960:CNM,
author = "J. F. Traub",
title = "Comments on a recent paper [{``A New Method of
Computation of Square Roots Without Using
Division''}]",
journal = j-CACM,
volume = "3",
number = "2",
pages = "86--86",
month = feb,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Fri Nov 25 18:19:25 MST 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Traub60;
http://www.acm.org/pubs/contents/journals/cacm/",
note = "See \cite{Sarafyan:1959:NMC}.",
acknowledgement = ack-nhfb,
oldlabel = "Traub60",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Traub60",
}
@Book{Warmus:1960:TEF,
author = "Mieczys{\l}aw Warmus",
title = "Tables of elementary functions",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "vii + 567",
year = "1960",
LCCN = "QA55 .W3 1960",
MRclass = "65.05",
MRnumber = "23 \#B1141",
MRreviewer = "J. C. P. Miller",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
note = "Pa\'nstwowe Wydawnictwo Naukowe, Warsaw. Separately
bound table of proportional parts, 30 pp.",
acknowledgement = ack-nhfb,
}
@Article{Barakat:1961:EIG,
author = "Richard Barakat",
title = "Evaluation of the Incomplete Gamma Function of
Imaginary Argument by {Chebyshev} Polynomials",
journal = j-MATH-COMPUT,
volume = "15",
number = "73",
pages = "7--11",
month = jan,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Froberg:1961:RCA,
author = "Carl-Erik Fr{\"o}berg",
title = "Rational {Chebyshev} Approximations of Elementary
Functions",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "1",
number = "4",
pages = "256--262",
month = dec,
year = "1961",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933243",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=4",
note = "See erratum \cite{Froberg:1963:ERC}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=4&spage=256",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Article{Spielberg:1961:ECF,
author = "Kurt Spielberg",
title = "Efficient Continued Fraction Approximations To
Elementary Functions",
journal = j-MATH-COMP,
volume = "15",
number = "76",
pages = "409--417",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65.20",
MRnumber = "MR0134842 (24 \#B894)",
MRreviewer = "M. E. Rose",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj # " and " # ack-nhfb,
}
@Article{Thacher:1961:ISR,
author = "Henry C. {Thacher, Jr.}",
title = "Iterated Square Root Expansions for the Inverse Cosine
and Inverse Hyperbolic Cosine",
journal = j-MATH-COMPUT,
volume = "15",
number = "76",
pages = "399--403",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Werner:1961:CAG,
author = "Helmut Werner and Robert Collinge",
title = "{Chebyshev} Approximations to the Gamma Function (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "15",
number = "74",
pages = "195--197",
month = apr,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Carlitz:1963:IEF,
author = "L. Carlitz",
title = "The Inverse of the Error Function",
journal = j-PAC-J-MATH,
volume = "13",
number = "2",
pages = "459--470",
year = "1963",
CODEN = "PJMAAI",
ISSN = "0030-8730",
bibdate = "Thu Sep 13 21:30:05 2007",
URL = "http://pjm.math.berkeley.edu/pjm;
http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.pjm/1103035736&view=body&content-type=pdf_1",
acknowledgement = ack-nhfb,
}
@Article{Froberg:1963:ERC,
author = "C.-E. Fr{\"o}berg",
title = "Erratum: {``Rational Chebyshev Approximations of
Elementary Functions'' [BIT {\bf 1}(4), 1961, p. 261,
line 12]}",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "3",
number = "1",
pages = "68--68",
month = mar,
year = "1963",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01963538",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=3&issue=1",
note = "See \cite{Froberg:1961:RCA}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=3&issue=1&spage=68",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Book{Ljusternik:1963:MVF,
author = "L. A. Ljusternik and O. A. {\v{C}}ervonenkis and A. R.
Janpol'ski{{\u{\i}}}",
title = "{\cyr Matematicheski{\u{\i}}analiz. Vychislenie
{\`e}lementarnykh funktsi{\u{\i}}}. [Mathematical
analysis. Computation of the elementary functions]",
publisher = "Gosudarstv. Izdat. Fiz-Mat. Lit.",
address = "Moscow, USSR",
pages = "247",
year = "1963",
MRclass = "65.25",
MRnumber = "28 \#1733",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Peuizulaev:1963:AEF,
author = "{\v{S}}. I. Pe{\u{\i}}zulaev",
title = "An approximation by elementary functions.
({Russian})",
journal = "{\v{Z}}. Vy{\v{c}}isl. Mat. i Mat. Fiz.",
volume = "3",
pages = "769--770",
year = "1963",
MRclass = "41.30",
MRnumber = "28 \#398",
MRreviewer = "D. D. Stancu",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Whittlesey:1963:IGF,
author = "John R. B. Whittlesey",
title = "Incomplete Gamma Functions for Evaluating {Erlang}
Process Probabilities",
journal = j-MATH-COMPUT,
volume = "17",
number = "81",
pages = "11--17",
month = jan,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Burgoyne:1964:GTF,
author = "F. D. Burgoyne",
title = "Generalized Trigonometric Functions (in {Technical
Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "18",
number = "86",
pages = "314--316",
month = apr,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Morelock:1964:AAE,
author = "J. C. Morelock",
title = "{ACM} Algorithm 229: Elementary Functions by Continued
Fractions",
journal = j-CACM,
volume = "7",
number = "5",
pages = "296",
month = may,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Thu Sep 08 09:32:21 1994",
acknowledgement = ack-nhfb,
}
@Article{Simauti:1964:AFS,
author = "Takakazu Simauti",
title = "Approximation formulas for some elementary functions",
journal = "Comment. Math. Univ. St. Paul.",
volume = "12",
pages = "23--35",
year = "1964",
CODEN = "COMAAC",
ISSN = "0010-258X",
MRclass = "65.25",
MRnumber = "28 \#5552",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Wengert:1964:SAD,
author = "R. E. Wengert",
title = "A simple automatic derivative evaluation program",
journal = j-CACM,
volume = "7",
number = "8",
pages = "463--464",
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/auto.diff.bib.gz",
abstract = "A procedure for automatic evaluation of total and
partial derivatives of arbitrary algebraic functions is
presented. The numerical values of derivatives are
computed without developing analytic expressions for
the derivatives. The function is decomposed into a
sequence of elementary expressions A library is
provided for differentiating of elementary functions.",
acknowledgement = ack-nhfb,
keywords = "point algorithm; differentiation arithmetic; computer
program.",
referred = "[Bell65a]; [Carl86a]; [Corl88a]; [Garc91a]; [Irim91a];
[Kala83b]; [Laws88a]; [Laws91a]; [Neid87a]; [Neid89a];
[Ostr71a]; [Pfei87a]; [Tesf91a]; [Voli85a]; [Wexl87a];
[Wilk64a].",
}
@Article{Kazangapov:1965:REF,
author = "A. N. Kazangapov",
title = "Representation of elementary function in the system of
residual classes. ({Russian})",
journal = "Izv. Akad. Nauk Kazah. SSR Ser. Fiz.-Mat. Nauk",
volume = "3",
pages = "79--84",
year = "1965",
MRclass = "65.25",
MRnumber = "33 \#5090",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Book{Lyusternik:1965:HCE,
author = "L. A. Lyusternik and O. A. Chervonenkis and A. R.
Yanpol'skii",
title = "Handbook for Computing Elementary Functions",
volume = "76",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "xiii + 251",
year = "1965",
LCCN = "QA221.L513",
MRclass = "65.25",
MRnumber = "32 \#584",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
note = "Translated from the Russian by G. J. Tee. Translation
edited by K. L. Stewart.",
series = "International series of monographs on pure and applied
mathematics",
acknowledgement = ack-nhfb,
}
@Article{Maklovic:1965:IIC,
author = "S. T. Maklovi{\v{c}}",
title = "Investigation of integrals containing {Bessel} and
elementary functions. ({Russian})",
journal = "Ki{\v{s}}inev. Gos. Univ. U{\v{c}}en. Zap.",
volume = "82",
pages = "75--81",
year = "1965",
MRclass = "33.25",
MRnumber = "34 \#387",
MRreviewer = "H. A. Lauwerier",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Medhurst:1965:EI,
author = "R. G. Medhurst and J. H. Roberts",
title = "Evaluation of the Integral ${I}_n(b) = \frac{2}{\pi}
\int^\infty_0 \bigg(\frac{\sin x}{x}\bigg)^n \cos (bx)
dx$",
journal = j-MATH-COMPUT,
volume = "19",
number = "89",
pages = "113--117",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Filippi:1966:BEE,
author = "S. Filippi",
title = "{Die Berechnung einiger elementarer transzendenter
Funktionen mit Hilfe des Richardson-Algorithmus}
\toenglish {The Computation of Some Elementary
Transcendental Functions by Means of the {Richardson}
Algorithm} \endtoenglish",
journal = j-COMPUTING,
volume = "1",
number = "??",
pages = "127--132",
month = "????",
year = "1966",
CODEN = "CMPTA2",
ISSN = "0010-485X",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Glasser:1966:ESI,
author = "M. L. Glasser",
title = "Evaluation of Some Integrals Involving the
$\psi$-Function (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "332--333",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Jurimae:1966:KFT,
author = "E. J{\"u}rim{\"a}e",
title = "Kompleksmuutuja funktsioonide teooria. {I}:
Elementaarsed funktsioonid. ({Estonian}) [Theory of
functions of a complex variable. {I}: Elementary
functions]",
publisher = "Tartu Riiklik {\"U}likool",
address = "Tartu, Estonia",
pages = "131",
year = "1966",
MRclass = "30.00",
MRnumber = "40 \#5827a",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Kogbetliantz:1966:GEF,
author = "E. G. Kogbetliantz",
title = "Generation of Elementary Functions",
crossref = "Ralston:1960:MMD",
pages = "7--35",
year = "1966",
bibdate = "Sat Dec 09 14:09:27 1995",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@TechReport{Kuki:1966:CAE,
author = "H. Kuki",
title = "Comments on the {ANL} Evaluation of the {OS\slash 360
FORTRAN} Math Function Library",
type = "????",
number = "SSD 169, C4773",
institution = "SHARE Secretary Distribution",
address = "????",
pages = "47--53",
year = "1966",
bibdate = "Wed Feb 14 19:13:50 2007",
acknowledgement = ack-nhfb,
}
@Article{Takenaga:1966:EIG,
author = "Roy Takenaga",
title = "On the Evaluation of the Incomplete Gamma Function (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "96",
pages = "606--610",
month = oct,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Thompson:1966:ESI,
author = "Rory Thompson",
title = "Evaluation of ${I}_n(b) = 2\pi^{-1} \int^\infty_0
\big(\frac{sin x}{x}\big) ^n \cos (bx) dx$ and of
Similar Integrals (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "330--332",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cody:1967:CAN,
author = "W. J. Cody and K. E. Hillstrom",
title = "{Chebyshev} Approximations for the Natural Logarithm
of the Gamma Function",
journal = j-MATH-COMPUT,
volume = "21",
number = "98",
pages = "198--203",
month = apr,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1967:MCI,
author = "Henry E. Fettis",
title = "More on the Calculation of the Integral ${I}_n(b) =
\frac{2}{\pi}\int^\infty_0\big(\frac{\sin x}{x}\big)^n
\cos bx dx$ (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "727--730",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Moody:1967:ADF,
author = "William T. Moody",
title = "Approximations for the Psi (Digamma) Function (in
Technical Notes and Short Notices)",
journal = j-MATH-COMPUT,
volume = "21",
number = "97",
pages = "112--112",
month = jan,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Fike:1968:CEM,
author = "C. T. Fike",
title = "Computer Evaluation of Mathematical Functions",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xii + 227",
year = "1968",
LCCN = "QA297 .F5",
bibdate = "Thu Sep 1 10:12:51 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
acknowledgement = ack-nj,
}
@Article{Galant:1968:HAG,
author = "D. C. Galant and P. F. Byrd",
title = "High Accuracy Gamma Function Values for Some Rational
Arguments (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "22",
number = "104",
pages = "885--887",
month = oct,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Hart:1968:CAa,
author = "John F. Hart and E. W. Cheney and Charles L. Lawson
and Hans J. Maehly and Charles K. Mesztenyi and John R.
Rice and Henry G. {Thatcher, Jr.} and Christoph
Witzgall",
title = "Computer Approximations",
publisher = pub-REK,
address = pub-REK:adr,
pages = "x + 343",
year = "1968",
ISBN = "0-88275-642-7",
ISBN-13 = "978-0-88275-642-4",
LCCN = "QA 297 C64 1978",
bibdate = "Tue Dec 14 22:55:11 1993",
note = "Reprinted 1978 with corrections.",
acknowledgement = ack-nhfb,
}
@Book{Hart:1968:CAb,
author = "John F. Hart and E. W. Cheney and Charles L. Lawson
and Hans J. Maehly and Charles K. Mesztenyi and John R.
Rice and Henry G. {Thatcher, Jr.} and Christoph
Witzgall",
title = "Computer Approximations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 343",
year = "1968",
ISBN = "0-471-35630-1",
ISBN-13 = "978-0-471-35630-1",
LCCN = "????",
bibdate = "Sat Jan 14 14:53:06 2006",
acknowledgement = ack-nhfb,
}
@Article{Nagashima:1968:EFN,
author = "Takashi Nagashima",
title = "On elementary functions of natural numbers",
journal = "Hitotsubashi J. Arts Sci.",
volume = "9",
pages = "50--58",
year = "1968",
ISSN = "0073-2788",
MRclass = "02.72",
MRnumber = "MR0232678 (38 \#1001)",
MRreviewer = "R. L. Goodstein",
fjournal = "Hitotsubashi Journal of Arts \& Sciences",
}
@Article{Richardson:1968:SUP,
author = "Daniel Richardson",
title = "Some Undecidable Problems Involving Elementary
Functions of a Real Variable",
journal = j-J-SYMBOLIC-LOGIC,
volume = "33",
number = "4",
pages = "514--520",
month = dec,
year = "1968",
CODEN = "JSYLA6",
ISSN = "0022-4812",
MRclass = "02.75",
MRnumber = "39 #1330",
bibdate = "Mon May 19 13:04:20 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/hilbert10.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Wrench:1968:CTS,
author = "John W. {Wrench, Jr.}",
title = "Concerning Two Series for the Gamma Function",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "617--626",
month = jul,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Carlson:1969:CBE,
author = "B. C. Carlson",
title = "A connection between elementary functions and higher
transcendental functions",
journal = j-SIAM-J-APPL-MATH,
volume = "17",
pages = "116--148",
year = "1969",
CODEN = "SMJMAP",
ISSN = "0036-1399",
MRclass = "33.20 (30.00)",
MRnumber = "40 \#408",
MRreviewer = "S. K. Bose",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InProceedings{Clark:1969:SCE,
author = "N. W. Clark and W. J. Cody",
title = "Self-contained exponentiation",
crossref = "AFIPS:1969:ACPb",
pages = "701--706",
year = "1969",
bibdate = "Wed Sep 07 10:49:33 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@Article{Herman:1969:NHE,
author = "G. T. Herman",
title = "A new hierarchy of elementary functions",
journal = j-PROC-AM-MATH-SOC,
volume = "20",
pages = "557--562",
year = "1969",
CODEN = "PAMYAR",
ISSN = "0002-9939",
MRclass = "02.77",
MRnumber = "40 \#4110",
MRreviewer = "G. E. Sacks",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lewis:1969:FII,
author = "Richard L. Lewis",
title = "On Finite Integrals Involving Trigonometric, {Bessel},
and {Legendre} Functions",
journal = j-MATH-COMPUT,
volume = "23",
number = "106",
pages = "259--273",
month = apr,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@InProceedings{Tesler:1969:AEF,
author = "G. S. Tesler",
booktitle = "Mathematical provisioning of electronic digital
computers and effective organization of the computing
process (Proc. Sem., Kiev, 1969) ({Russian}), No. 2",
title = "The approximation of elementary functions by means of
polynomials of degree zero and one. ({Russian})",
publisher = "Akad. Nauk Ukrain. SSR",
address = "Kiev, USSR",
pages = "75--88",
year = "1969",
MRclass = "65D15",
MRnumber = "45 \#4600",
MRreviewer = "I. Selihova",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Turner:1969:DSC,
author = "L. R. Turner",
title = "Difficulty in {\tt sin}/{\tt cos} Routine",
journal = j-SIGNUM,
volume = "4",
number = "3",
pages = "13--13",
year = "1969",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Thu Feb 15 15:23:23 2007",
acknowledgement = ack-nhfb,
}
@TechReport{DeLugish:1970:CAA,
author = "Bruce Gene DeLugish",
title = "A Class of Algorithms for Automatic Evaluation of
Certain Elementary Functions in a Binary Computer",
number = "399",
institution = "Department of Computer Science, University of Illinois
at Urbana-Champaign",
address = "Urbana, Illinois",
pages = "191",
year = "1970",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Kolbig:1970:CZI,
author = "K. S. Kolbig",
title = "Complex Zeros of an Incomplete {Riemann} Zeta Function
and of the Incomplete Gamma Function",
journal = j-MATH-COMPUT,
volume = "24",
number = "111",
pages = "679--696",
month = jul,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@TechReport{Lugish:1970:CAA,
author = "B. G. de Lugish",
title = "A Class of Algorithms for Automatic Evaluation of
Certain Elementary Function in a Binary Computer",
type = "Report",
number = "399",
institution = "Department of Computer Science, University of
Illinois",
pages = "????",
month = jun,
year = "1970",
bibdate = "Fri Sep 02 22:49:20 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Ninomiya:1970:BRS,
author = "Ichizo Ninomiya",
title = "Best Rational Starting Approximations and Improved
{Newton} Iteration for the Square Root",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "391--404",
month = apr,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Nagoya Univ., Chikua ku, Japan",
keywords = "computing procedure; function approximation; iterative
methods; Newton iteration; rational approximation;
square root",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Rothmaier:1970:DSB,
author = "B. Rothmaier",
title = "{Dokumentation der Standardfunktionen des
Betriebssystems {Hydra X8}} \toenglish {Documentation}
of the Elementary Functions of the Operating System
{Hydra X8} \endtoenglish",
type = "Interner {Bericht}",
number = "Nr. 70/8",
institution = "Institut f{\"u}r Informatik, Universit{\"a}t
Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1970",
bibdate = "Fri Jun 11 12:37:53 1999",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Bohan:1971:ADC,
author = "K. A. Bohan and K. V. La{\v{s}}{\v{c}}enov",
title = "The analytic definition of certain elementary
functions. ({Russian}) Questions of modern mathematics
and methods of teaching it at institutions of higher
learning",
journal = "Leningrad. Gos. Ped. Inst. U{\v{c}}en. Zap.",
volume = "404",
pages = "59--78",
year = "1971",
MRclass = "26A09",
MRnumber = "55 \#10612",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Cody:1971:SEF,
author = "W. J. Cody",
title = "Software for the Elementary Functions",
crossref = "Rice:1971:MS",
pages = "171--186",
year = "1971",
bibdate = "Thu Sep 15 18:56:47 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Herman:1971:EDH,
author = "G. T. Herman",
title = "The equivalence of different hierarchies of elementary
functions",
journal = "Z. Math. Logik Grundlagen Math.",
volume = "17",
pages = "219--224",
year = "1971",
MRclass = "02.77 (68.00)",
MRnumber = "44 \#6494",
MRreviewer = "D. A. Clarke",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kuki:1971:FEP,
author = "H. Kuki and J. Ascoly",
title = "{FORTRAN} extended-precision library",
journal = j-IBM-SYS-J,
volume = "10",
number = "1",
pages = "39--61",
year = "1971",
coden = "IBMSA7",
ISSN = "0018-8670",
bibdate = "Thu Sep 15 18:51:32 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
ftp://ftp.math.utah.edu/pub/tex/bib/ibmsysj.bib,
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
xxmonth = "(none)",
}
@InCollection{Kuki:1971:MFS,
author = "H. Kuki",
title = "Mathematical Function Subprograms for Basic System
Libraries{}\emdash Objectives, Constraints, and
Trade-Off",
crossref = "Rice:1971:MS",
pages = "187--199",
year = "1971",
bibdate = "Fri Sep 16 16:27:40 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
acknowledgement = ack-nj,
}
@Article{Liron:1971:ISR,
author = "N. Liron",
title = "Infinite Sums of Roots for a Class of Transcendental
Equations and {Bessel} Functions of Order One-Half",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "769--781",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Luke:1971:MTBa,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "323--330",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Luke:1971:MTBb,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions, {II}",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "789--795",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Matta:1971:UCE,
author = "F. Matta and A. Reichel",
title = "Uniform Computation of the Error Function and Other
Related Functions",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "339--344",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@PhdThesis{Rothmaier:1971:BEF,
author = "B. Rothmaier",
title = "{Die Berechnung der elementaren Funktionen mit
beliebiger Genauigkeit} \toenglish {The Computation of
Elementary Functions with Arbitrary Accuracy}
\endtoenglish",
type = "Dissertation",
school = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1971",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Spellucci:1971:DPA,
author = "P. Spellucci",
title = "Double precision approximations to the elementary
functions using {Jacobi-fractions}",
journal = j-NUM-MATH,
volume = "18",
pages = "127--143",
year = "1971/1972",
CODEN = "NUMMA7",
ISSN = "0029-599X",
MRclass = "65D20",
MRnumber = "45 \#7938",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Spira:1971:CGF,
author = "Robert Spira",
title = "Calculation of the Gamma Function by {Stirling}'s
Formula",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "317--322",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@InProceedings{Walther:1971:UAE,
author = "J. S. Walther",
title = "A unified algorithm for elementary functions",
crossref = "AFIPS:1971:ACP",
volume = "38",
pages = "379--385",
year = "1971",
bibdate = "Thu Sep 1 10:15:31 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Book{Bark:1972:MTF,
author = "L. S. Bark",
title = "{\cyr Mnogoznachnye tablitsy {\`e}lementarnykh
funktsi{\u{\i}}} (${\rm sin} x$, ${\rm cos} x$, $e^{x}$
{\cyr i} $e^{-x}$). ({Russian}) [Multiplace tables of
the elementary functions (${\rm sin}\ x$, ${\rm cos}\
x$, $e^{x}$ and $e^{-x}$)]",
publisher = "Vy{\v{c}}isl. Centr Akad. Nauk SSSR",
address = "Moscow, USSR",
edition = "Second, unrevised",
pages = "134",
year = "1972",
MRclass = "65A05",
MRnumber = "50 \#6100",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
note = "Tables processed and text translated from the English
by L. S. Bark. Library of Mathematical Tables, No. 9.
1972",
acknowledgement = ack-nhfb,
}
@Article{Carlson:1972:ACL,
author = "B. C. Carlson",
title = "An algorithm for computing logarithms and
arctangents",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "543--549",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Iowa State Univ., Ames, IA, USA",
keywords = "acceleration; arctangents; auxiliary; Borchardt's
algorithm; convergence; fast; function approximation;
functions; inverse circular functions; inverse
hyperbolic; iterative algorithm; logarithms; numerical
methods; rational operations; recurrence relation;
square roots",
treatment = "T Theoretical or Mathematical",
}
@Article{Chen:1972:ACE,
author = "Tien Chi Chen",
title = "Automatic Computation of Exponentials, Logarithms,
Ratios and Square Roots",
journal = j-IBM-JRD,
volume = "16",
number = "4",
pages = "380--388",
month = jul,
year = "1972",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65D20",
MRnumber = "49 \#1738",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.research.ibm.com/journal/rd/164/chen.pdf",
abstract = "It is shown how a relatively simple device can
evaluate exponentials, logarithms, ratios and square
roots for fraction arguments, employing only shifts,
adds, high-speed table lookups, and bit counting. The
scheme is based on the cotransformation of a number
pair $(x, y)$ such that the $F(x, y) = f(x_0)$ is
invariant; when $x$ is driven towards a known value
$x_w$, $y$ is driven towards the result. For an $N$-bit
fraction about $N / 4$ iterations are required, each
involving two or three adds; then a termination
algorithm, based on an add and an abbreviated multiply,
completes the process, for a total cost of about one
conventional multiply time. Convergence, errors and
simulation using APL are discussed.",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "IBM, San Jose, CA, USA",
keywords = "adds; APL; bit counting; convergence;
cotransformation; digital arithmetic; errors;
exponentials; high speed table; iteration; logarithms;
lookups; ratios; shifts; simulation; square roots;
termination algorithm",
reviewer = "F. Gotze",
treatment = "P Practical",
}
@TechReport{Ercegovac:1972:RES,
author = "Milos D. Ercegovac",
title = "Radix 16 Evaluation of Some Elementary Functions",
number = "540",
institution = "Department of Computer Science, University of Illinois
at Urbana-Champaign",
address = "Urbana, Illinois",
pages = "30",
year = "1972",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Hunter:1972:NEC,
author = "D. B. Hunter and T. Regan",
title = "A note on the evaluation of the complementary error
function",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "539--541",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Bradford, UK",
keywords = "complementary error function; complex variable;
evaluation; integration; method of Matta and Reichel;
modification; numerical; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Kolbig:1972:ZIG,
author = "K. S. Kolbig",
title = "On the Zeros of the Incomplete Gamma Function",
journal = j-MATH-COMPUT,
volume = "26",
number = "119",
pages = "751--755",
month = jul,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "CERN, Geneva, Switzerland",
keywords = "asymptotic formulae; complex w plane; function
approximation; incomplete gamma function; poles and
zeros; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Ling:1972:EM,
author = "Chih-Bing Ling and Jung Lin",
title = "On Evaluation of Moments of ${K}_\nu(t)/{I}_\nu(t)$",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "529--537",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
corpsource = "Virginia Politech. Inst., Blacksburg, VA, USA",
keywords = "evaluation; K/sub nu/(t)/I/sub; moments; nu/(t);
numerical methods; Watson's method",
treatment = "T Theoretical or Mathematical",
}
@Article{Linz:1972:MCB,
author = "Peter Linz",
title = "A Method for Computing {Bessel} Function Integrals",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "509--513",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. California, Davis, CA, USA",
keywords = "Abel; Bessel function integrals; Fourier integrals;
infinite integrals; integration; numerical computation;
transform",
treatment = "T Theoretical or Mathematical",
}
@Article{Luke:1972:MTB,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions. {III}",
journal = j-MATH-COMPUT,
volume = "26",
number = "117",
pages = "237--240",
month = jan,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
corpsource = "Univ. Missouri, Kansas City, KS, USA",
keywords = "Bessel functions; miniaturized tables; numerical
methods",
treatment = "T Theoretical or Mathematical",
}
@Article{MacKinnon:1972:AEH,
author = "Robert F. MacKinnon",
title = "The asymptotic expansions of {Hankel} transforms and
related integrals",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "515--527",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Defence Res. Establ., Pacific, Victoria, BC, Canada",
keywords = "asymptotic expansions; Bessel; functions; Hankel
transforms; integrals; transforms",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Manos:1972:CCA,
author = "Paul Manos and L. Richard Turner",
title = "Constrained {Chebyshev} approximations to some
elementary functions suitable for evaluation with
floating-point arithmetic",
type = "{NASA} Technical Note",
number = "TN D-6698",
institution = "NASA",
address = "Washington, DC, USA",
pages = "iii + 68",
month = mar,
year = "1972",
bibdate = "Mon May 22 11:27:24 2006",
URL = "http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19720010958_1972010958.pdf",
acknowledgement = ack-nhfb,
}
@Article{Marino:1972:NAA,
author = "D. Marino",
title = "New Algorithms for the Approximate Evaluation in
Hardware of Binary Logarithms and Elementary
Functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "21",
number = "12",
pages = "1416--1421",
month = dec,
year = "1972",
CODEN = "ITCOB4",
ISSN = "0018-9340",
bibdate = "Thu Sep 08 08:05:51 1994",
acknowledgement = ack-nj,
}
@Article{Olver:1972:NBR,
author = "F. W. J. Olver and D. J. Sookne",
title = "Note on Backward Recurrence Algorithms",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "941--947",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Univ. Maryland, College Park, MD, USA",
keywords = "backward recurrence algorithms; Bessel; Bessel
functions; difference equations; functions; recessive
solution; second order linear difference equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Parnes:1972:CZM,
author = "R. Parnes",
title = "Complex zeros of the modified {Bessel} function
{$K_n(Z)$}",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "949--953",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "City Univ., New York, NY, USA",
keywords = "and zeros; Bessel functions; complex zeros;
interpolation; interpolation scheme; iterative;
iterative methods; modified Bessel function; poles",
treatment = "T Theoretical or Mathematical",
}
@Article{Turunov:1972:EFD,
author = "M. Turunov",
title = "Elementary functions of a discrete real and complex
argument. ({Russian})",
journal = "Ta{\v{s}}kent. Gos. Univ. Nau{\v{c}}n. Trudy",
volume = "418 Voprosy Mat.",
pages = "263--271, 386",
year = "1972",
MRclass = "30A95",
MRnumber = "50 \#13556",
MRreviewer = "G. Berzsenyi",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Baker:1973:PAS,
author = "P. W. Baker",
title = "Predictive algorithms for some elementary functions in
radix $2$",
journal = j-ELECT-LETTERS,
volume = "9",
pages = "493--494",
year = "1973",
CODEN = "ELLEAK",
ISBN = "0013-5194",
ISBN-13 = "0013-5194",
ISSN = "0013-5194",
MRclass = "68A10",
MRnumber = "57 \#18203",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cody:1973:CAP,
author = "W. J. Cody and Anthony J. Strecok and Henry C.
{Thacher, Jr.}",
title = "{Chebyshev} Approximations for the Psi Function",
journal = j-MATH-COMPUT,
volume = "27",
number = "121",
pages = "123--127",
month = jan,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65-06 (68-06)",
MRnumber = "50 6095",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Argonne Nat. Lab., IL, USA",
keywords = "Chebyshev approximation; Chebyshev approximations;
digamma function; psi function",
treatment = "T Theoretical or Mathematical",
}
@Article{Ercegovac:1973:REC,
author = "M. D. Ercegovac",
title = "Radix-16 Evaluation of Certain Elementary Functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-22",
number = "6",
pages = "561--566",
month = jun,
year = "1973",
CODEN = "ITCOB4",
ISSN = "0018-9340",
bibdate = "Thu Sep 1 10:15:39 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Fettis:1973:CZE,
author = "Henry E. Fettis and James C. Caslin and Kenneth R.
Cramer",
title = "Complex zeros of the error function and of the
complementary error function",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "401--407",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Wright-Patterson Air Force Base, OH, USA",
keywords = "asymptotic formula; complementary error function;
complex zeros; error function; errors; first one
hundred zeros; function evaluation; poles and zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Fettis:1973:SPC,
author = "Henry E. Fettis and James C. Caslin and Kenneth R.
Cramer",
title = "Saddle Points of the Complementary Error Function",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "409--412",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Sandia Labs., Albuquerque, NM, USA",
keywords = "asymptotic; complementary error function; errors;
formula; function evaluation; poles and zeros; saddle
points",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Hemker:1973:SDL,
author = "P. W. Hemker and W. Hoffmann and S. P. N. {van Kampen}
and H. L. Oudshoorn and D. T. Winter",
title = "Single- and double-length computation of elementary
functions",
number = "NW 7",
institution = "Mathematical Centre",
address = "Amsterdam",
year = "1973",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/h/hemker-pieter-w.bib",
acknowledgement = ack-nhfb,
}
@Article{Linz:1973:NCI,
author = "Peter Linz and T. E. Kropp",
title = "A note on the computation of integrals involving
products of trigonometric and {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "27",
number = "124",
pages = "871--872",
month = oct,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. California, Davies, CA, USA",
keywords = "Bessel functions; computation; integration; numerical;
numerical methods; products; trigonometric",
treatment = "T Theoretical or Mathematical",
}
@Article{Lozier:1973:BCP,
author = "D. W. Lozier and L. C. Maximon and W. L. Sadowski",
title = "A bit comparison program for algorithm testing",
journal = j-COMP-J,
volume = "16",
number = "2",
pages = "111--117",
month = may,
year = "1973",
CODEN = "CMPJA6",
ISSN = "0010-4620",
bibdate = "Fri Sep 29 08:52:11 MDT 2000",
bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/160111.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/111.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/112.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/113.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/114.tif;